7(5x+2)=8x-7

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Solution for 7(5x+2)=8x-7 equation:


Simplifying
7(5x + 2) = 8x + -7

Reorder the terms:
7(2 + 5x) = 8x + -7
(2 * 7 + 5x * 7) = 8x + -7
(14 + 35x) = 8x + -7

Reorder the terms:
14 + 35x = -7 + 8x

Solving
14 + 35x = -7 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
14 + 35x + -8x = -7 + 8x + -8x

Combine like terms: 35x + -8x = 27x
14 + 27x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
14 + 27x = -7 + 0
14 + 27x = -7

Add '-14' to each side of the equation.
14 + -14 + 27x = -7 + -14

Combine like terms: 14 + -14 = 0
0 + 27x = -7 + -14
27x = -7 + -14

Combine like terms: -7 + -14 = -21
27x = -21

Divide each side by '27'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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